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JEE Math Practice Question

If a curve $$y=f(x)$$ passes through the point $$(1,-1)$$ and satisfies the differential equation, $$y(1+xy) dx=x$$ $$dy$$, then $$f\left( { - {1 \over 2}} \right)$$ is equal to :

  1. A.$${2 \over 5}$$
  2. B.$${4 \over 5}$$
  3. C.$$-{2 \over 5}$$
  4. D.$$-{4 \over 5}$$

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